Algebra 1 BEst AnSwer

x^2(x^4y^3)
Answer
[(-2^3)^3]^2
Answer

Simplify
-7xy+x(7y-3)
Answer/explain

Solve
-6(11-2x)=7(-2-2x)

Answer/Explain

I'LL GIVE BEST ANSWER:) please explain

x^2(x^4y^3)=x^6y^3

[(-2^3)^3]^2=[(-8)^3]^2=512^2=262,144

-7xy+x(7y-3)=-7xy+7xy-3=-3

-6(11-2x)=7(-2-2x)
-66+12x=-14-14x
-66+12x-12x=-14-14x-12x
-66=-14=26x
-66+14=-14-26x+14
-52=-26x
-52/-26=-26x/26
x= 2

For all of these you're just using the distributive property and then solving the problem.

For the first one, order of multiplication does not matter, so just remember when multiplying something with another of equal base (in this case x) just add the exponents together. So you get x^6y^3

For the second one, just take each problem a piece at time starting inside all the brackets and parenthesis. so -2^3=-8 (because odd exponents leave the problem negative) -8^3=-512 and -512^2=262144

To simplify the third problem, just distribute the x into both portions of the problem in parenthesis. so x*7y - x*3 gets you -7xy+7xy-3x the 7xy and -7xy cancel each other out and leaves you with -3x

The fourth problem is just more distribution. -66+12x=-14-14x Put all the X terms on one side and you get -52=-26x divide both sides by -26 to isolate x and you should get -52/-26=x Which comes out to 2.

1)
x^6y^3 (because youre just adding the powers of the x's, and then adding the y's)

2)
262144 (because youre just solving)

3)
-3 (again, just solving. use the distributive proporty. -7xy + 7xy = 0 + -3 = -3)

4)
-66+12x = -14-14x
+14x +14x
-66+26x=-14
+66 +66
26x=52
x=2

(Just use the distributive proporty and solve the equation)